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12 November, 10:14

In quadrilateral RSTU, RS = 60 mm, ST = 60 mm, TU = 112 mm, and UR = 112 mm.

If quadrilateral VWXY is similar to quadrilateral RSTU, which side lengths could be the side lengths of quadrilateral VWXY?

A.

VW = 15 mm, WX = 15 mm,

XY = 28 mm, YV = 28 mm

B.

VW = 30 mm, WX = 30 mm,

XY = 112 mm, YV = 112 mm

C.

VW = 56 mm, WX = 56 mm,

XY = 108 mm, YV = 108 mm

D.

VW = 60 mm, WX = 60 mm,

XY = 56 mm, YV = 56 mm

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Answers (1)
  1. 12 November, 10:31
    0
    A. factor 4

    Step-by-step explanation:

    Just choose any side of the original one e. g 60mm and divide it by the lenght of the same side of the new one. In A. this gives you 60mm/15mm = 4. Then you can multiply the other lengths with that factor and if the result is equal to the sides of your original one you found the solution.
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